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Exponential growth and decay rate models

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initial for population-count, growth, time none, precision 0initial for population-count, decay, time none, precision 0initial for decaying-mass, decay, time none, precision 0initial for cooling-excess, decay, time none, precision 0initial for light-intensity, decay, time none, precision 0initial for pressure, growth, time none, precision 0initial for pressure, decay, time none, precision 0rate-rule for population-count, growth, time none, precision 0rate-rule for population-count, decay, time none, precision 0rate-rule for decaying-mass, decay, time none, precision 0rate-rule for cooling-excess, decay, time none, precision 0rate-rule for light-intensity, decay, time none, precision 0rate-rule for pressure, growth, time none, precision 0rate-rule for pressure, decay, time none, precision 0NOWMix of allRecommended
Question 1 of 8

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The model tracks the mass of a sample as time passes

\[A(t)=576e^{-\frac{1}{30}t}\]

A(t) is measured in grams, and t is measured in hours

(a)1 mark

Calculate the starting amount represented by the rule

(b)1 mark

Identify the rule that gives the instantaneous rate